Residuals and Correlation Coefficient

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

• A) As the number of coffee shops increase, violent crimes appears to increase.

• B) The line of best fit (regression line) shows a positive correlation

• C) The data has a positive correlation coefficient

• D) An increase in coffee shops causes an increase in violent crimes

• Positive, strong
• Positive, weak
• Zero
• Negative, strong

• Positive, strong
• Positive, weak
• Negative, strong
• Negative, weak

• Positive, strong
• Positive, weak
• Negative, strong
• Negative weak

• Positive, strong
• Positive, weak
• Negative, strong
• Negative, weak

• Positive, strong
• Positive, weak
• Negative, strong
• Negative, weak

Rank these scatter plots according to the intensity of the correlation represented, from weakest to strongest.

• 1, 2, 3, 4
• 2, 4, 3, 1
• 4, 3, 2, 1
• 1, 3, 4, 2

• This residual graph represents a linear fit.
• This graph represents a nonlinear fit.
• This residual graph represents no fit.

• This residual plot represents a linear fit.
• This residual plot represents a nonlinear fit.
• This residual plot represents no fit.

The ages of the US Presidents that were inaugurated during the 1900s are given below.

42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46

Look at the box-and-whisker plot of these data below. What, if anything, is wrong with this box-and-whisker plot?

• The value of Q1 is incorrect.

• The median is incorrect.

• The value of Q3 is incorrect.

• The box-and-whisker plot is correct.